Prüfer and Morita Hulls of FCP Extensions
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Publication:5245114
DOI10.1080/00927872.2014.897543zbMath1365.13012arXiv1502.07247OpenAlexW2044669910MaRDI QIDQ5245114
Martine Picavet-L'Hermitte, Gabriel Picavet
Publication date: 2 April 2015
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1502.07247
Integral closure of commutative rings and ideals (13B22) Extension theory of commutative rings (13B02) Integral dependence in commutative rings; going up, going down (13B21) Étale and flat extensions; Henselization; Artin approximation (13B40) Rings of fractions and localization for commutative rings (13B30)
Related Items (8)
The Loewy series of an FCP (distributive) ring extension ⋮ Unnamed Item ⋮ Boolean FIP ring extensions ⋮ Splitting ring extensions ⋮ Unnamed Item ⋮ Quasi-Prüfer Extensions of Rings ⋮ Ring extensions of length two ⋮ When an extension of Nagata rings has only finitely many intermediate rings, each of those is a Nagata ring
Cites Work
- Manis valuations and Prüfer extensions. I: A new chapter in commutative algebra
- Some dual homological results for modules over commutative rings
- Closure along an admissible subset, seminormality and \(t\)-closedness.
- Characterizing the ring extensions that satisfy FIP or FCP
- Flat modules, injective modules and quotient rings
- Homomorphismes minimaux d'anneaux
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